4065627456 has 168 divisors, whose sum is σ = 12953719584. Its totient is φ = 1208663040.

The previous prime is 4065627439. The next prime is 4065627487. The reversal of 4065627456 is 6547265604.

4065627456 is a `hidden beast` number, since 40 + 6 + 562 + 7 + 45 + 6 = 666.

It is a super-2 number, since 2×4065627456² = 33058653221962063872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329755 + ... + 341861.

Almost surely, 2^4065627456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4065627456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6476859792).

4065627456 is an abundant number, since it is smaller than the sum of its proper divisors (8888092128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4065627456 is a wasteful number, since it uses less digits than its factorization.

4065627456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12189 (or 12176 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 4065627456 is about 63762.2729833246. The cubic root of 4065627456 is about 1596.0354261268.

The spelling of 4065627456 in words is "four billion, sixty-five million, six hundred twenty-seven thousand, four hundred fifty-six".